2-3/3-1

1) I always have a hard time understanding the purpose of existence and uniqueness proofs. In trying to follow the logic, I have the same feeling when I try to follow circular logic. I don't see what we accomplish. It's still hard to see how to prove something I instinctively know to be true.

2) After reading Theorem 2.11 and the facts leading up to it, I really felt it worked like magic. And then I started to wonder, hmm, why does it work, and then I knew a proof was coming. And then it did. I feel like I have a special spidey sense for upcoming proofs now.